Current Betti Table Entry:
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
0 |
(2,0,0) |
(7,1,0) |
(12,1,1) |
(16,3,1) |
(20,4,2) |
(24,4,4) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
1 |
· |
· |
· |
(17,9,0) |
(22,9,1) |
(26,10,2) |
(30,10,4) |
(33,12,5) |
(36,13,7) |
(39,13,10) |
(41,17,10) |
(43,20,11) |
(45,22,13) |
(47,23,16) |
(49,23,20) |
(50,28,20) |
(51,32,21) |
(52,35,23) |
(53,37,26) |
(54,38,30) |
(55,38,35) |
(55,43,36) |
(55,47,38) |
(55,50,41) |
· |
· |
2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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· |
· |
· |
· |
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· |
· |
· |
· |
(54,54,44) |
(55,54,49) |
(55,55,54) |
\(\lambda=(41,39,36)\)
- Multiplicity: 207
- Dimension: 42
- Dominant: No
\(\lambda=(51,35,30)\)
- Multiplicity: 34
- Dimension: 1173
- Dominant: No
\(\lambda=(47,43,26)\)
- Multiplicity: 58
- Dimension: 1035
- Dominant: No
\(\lambda=(46,37,33)\)
- Multiplicity: 412
- Dimension: 375
- Dominant: No
\(\lambda=(44,40,32)\)
- Multiplicity: 497
- Dimension: 315
- Dominant: No
\(\lambda=(49,38,29)\)
- Multiplicity: 138
- Dimension: 1320
- Dominant: No
\(\lambda=(50,44,22)\)
- Multiplicity: 1
- Dimension: 2415
- Dominant: Yes
\(\lambda=(51,33,32)\)
- Multiplicity: 16
- Dimension: 399
- Dominant: No
\(\lambda=(52,39,25)\)
- Multiplicity: 2
- Dimension: 3045
- Dominant: No
\(\lambda=(47,41,28)\)
- Multiplicity: 178
- Dimension: 1029
- Dominant: No
\(\lambda=(46,35,35)\)
- Multiplicity: 99
- Dimension: 78
- Dominant: No
\(\lambda=(44,38,34)\)
- Multiplicity: 500
- Dimension: 210
- Dominant: No
\(\lambda=(49,36,31)\)
- Multiplicity: 149
- Dimension: 840
- Dominant: No
\(\lambda=(50,42,24)\)
- Multiplicity: 8
- Dimension: 2394
- Dominant: No
\(\lambda=(45,44,27)\)
- Multiplicity: 56
- Dimension: 360
- Dominant: No
\(\lambda=(42,41,33)\)
- Multiplicity: 257
- Dimension: 99
- Dominant: No
\(\lambda=(52,37,27)\)
- Multiplicity: 7
- Dimension: 2376
- Dominant: No
\(\lambda=(48,45,23)\)
- Multiplicity: 4
- Dimension: 1242
- Dominant: No
\(\lambda=(47,39,30)\)
- Multiplicity: 323
- Dimension: 855
- Dominant: No
\(\lambda=(44,36,36)\)
- Multiplicity: 130
- Dimension: 45
- Dominant: No
\(\lambda=(50,40,26)\)
- Multiplicity: 31
- Dimension: 2145
- Dominant: No
\(\lambda=(49,34,33)\)
- Multiplicity: 67
- Dimension: 288
- Dominant: No
\(\lambda=(45,42,29)\)
- Multiplicity: 227
- Dimension: 504
- Dominant: No
\(\lambda=(42,39,35)\)
- Multiplicity: 351
- Dimension: 90
- Dominant: No
\(\lambda=(52,35,29)\)
- Multiplicity: 11
- Dimension: 1575
- Dominant: No
\(\lambda=(48,43,25)\)
- Multiplicity: 30
- Dimension: 1425
- Dominant: No
\(\lambda=(47,37,32)\)
- Multiplicity: 350
- Dimension: 561
- Dominant: No
\(\lambda=(50,38,28)\)
- Multiplicity: 65
- Dimension: 1716
- Dominant: No
\(\lambda=(46,46,24)\)
- Multiplicity: 5
- Dimension: 276
- Dominant: No
\(\lambda=(45,40,31)\)
- Multiplicity: 458
- Dimension: 480
- Dominant: No
\(\lambda=(42,37,37)\)
- Multiplicity: 94
- Dimension: 21
- Dominant: No
\(\lambda=(43,43,30)\)
- Multiplicity: 85
- Dimension: 105
- Dominant: No
\(\lambda=(52,33,31)\)
- Multiplicity: 7
- Dimension: 690
- Dominant: No
\(\lambda=(48,41,27)\)
- Multiplicity: 101
- Dimension: 1380
- Dominant: No
\(\lambda=(47,35,34)\)
- Multiplicity: 154
- Dimension: 195
- Dominant: No
\(\lambda=(40,40,36)\)
- Multiplicity: 84
- Dimension: 15
- Dominant: No
\(\lambda=(50,36,30)\)
- Multiplicity: 83
- Dimension: 1155
- Dominant: No
\(\lambda=(51,42,23)\)
- Multiplicity: 1
- Dimension: 3000
- Dominant: Yes
\(\lambda=(46,44,26)\)
- Multiplicity: 47
- Dimension: 627
- Dominant: No
\(\lambda=(45,38,33)\)
- Multiplicity: 517
- Dimension: 336
- Dominant: No
\(\lambda=(43,41,32)\)
- Multiplicity: 347
- Dimension: 195
- Dominant: No
\(\lambda=(49,45,22)\)
- Multiplicity: 1
- Dimension: 1740
- Dominant: No
\(\lambda=(53,37,26)\)
- Multiplicity: 1
- Dimension: 2958
- Dominant: Yes
\(\lambda=(48,39,29)\)
- Multiplicity: 204
- Dimension: 1155
- Dominant: No
\(\lambda=(40,38,38)\)
- Multiplicity: 41
- Dimension: 6
- Dominant: No
\(\lambda=(50,34,32)\)
- Multiplicity: 52
- Dimension: 510
- Dominant: No
\(\lambda=(51,40,25)\)
- Multiplicity: 8
- Dimension: 2688
- Dominant: No
\(\lambda=(46,42,28)\)
- Multiplicity: 177
- Dimension: 750
- Dominant: No
\(\lambda=(45,36,35)\)
- Multiplicity: 232
- Dimension: 120
- Dominant: No
\(\lambda=(43,39,34)\)
- Multiplicity: 472
- Dimension: 165
- Dominant: No
\(\lambda=(49,43,24)\)
- Multiplicity: 11
- Dimension: 1890
- Dominant: No
\(\lambda=(53,35,28)\)
- Multiplicity: 2
- Dimension: 2052
- Dominant: No
\(\lambda=(48,37,31)\)
- Multiplicity: 252
- Dimension: 798
- Dominant: No
\(\lambda=(51,38,27)\)
- Multiplicity: 22
- Dimension: 2184
- Dominant: No
\(\lambda=(47,46,23)\)
- Multiplicity: 3
- Dimension: 624
- Dominant: No
\(\lambda=(46,40,30)\)
- Multiplicity: 374
- Dimension: 693
- Dominant: No
\(\lambda=(43,37,36)\)
- Multiplicity: 228
- Dimension: 63
- Dominant: No
\(\lambda=(44,43,29)\)
- Multiplicity: 131
- Dimension: 255
- Dominant: No
\(\lambda=(49,41,26)\)
- Multiplicity: 46
- Dimension: 1800
- Dominant: No
\(\lambda=(53,33,30)\)
- Multiplicity: 2
- Dimension: 1050
- Dominant: No
\(\lambda=(48,35,33)\)
- Multiplicity: 153
- Dimension: 357
- Dominant: No
\(\lambda=(41,40,35)\)
- Multiplicity: 208
- Dimension: 48
- Dominant: No
\(\lambda=(51,36,29)\)
- Multiplicity: 34
- Dimension: 1536
- Dominant: No
\(\lambda=(47,44,25)\)
- Multiplicity: 27
- Dimension: 960
- Dominant: No
\(\lambda=(46,38,32)\)
- Multiplicity: 470
- Dimension: 504
- Dominant: No
\(\lambda=(44,41,31)\)
- Multiplicity: 379
- Dimension: 330
- Dominant: No
\(\lambda=(49,39,28)\)
- Multiplicity: 108
- Dimension: 1518
- Dominant: No
\(\lambda=(41,38,37)\)
- Multiplicity: 131
- Dimension: 24
- Dominant: No
\(\lambda=(52,40,24)\)
- Multiplicity: 1
- Dimension: 3315
- Dominant: Yes
\(\lambda=(51,34,31)\)
- Multiplicity: 28
- Dimension: 792
- Dominant: No
\(\lambda=(47,42,27)\)
- Multiplicity: 111
- Dimension: 1056
- Dominant: No
\(\lambda=(46,36,34)\)
- Multiplicity: 292
- Dimension: 231
- Dominant: No
\(\lambda=(44,39,33)\)
- Multiplicity: 537
- Dimension: 273
- Dominant: No
\(\lambda=(49,37,30)\)
- Multiplicity: 154
- Dimension: 1092
- Dominant: No
\(\lambda=(50,43,23)\)
- Multiplicity: 3
- Dimension: 2436
- Dominant: No
\(\lambda=(45,45,26)\)
- Multiplicity: 14
- Dimension: 210
- Dominant: No
\(\lambda=(42,42,32)\)
- Multiplicity: 133
- Dimension: 66
- Dominant: No
\(\lambda=(52,38,26)\)
- Multiplicity: 5
- Dimension: 2730
- Dominant: No
\(\lambda=(48,46,22)\)
- Multiplicity: 2
- Dimension: 1050
- Dominant: No
\(\lambda=(47,40,29)\)
- Multiplicity: 258
- Dimension: 960
- Dominant: No
\(\lambda=(39,39,38)\)
- Multiplicity: 18
- Dimension: 3
- Dominant: No
\(\lambda=(44,37,35)\)
- Multiplicity: 345
- Dimension: 132
- Dominant: No
\(\lambda=(49,35,32)\)
- Multiplicity: 119
- Dimension: 570
- Dominant: No
\(\lambda=(50,41,25)\)
- Multiplicity: 16
- Dimension: 2295
- Dominant: No
\(\lambda=(45,43,28)\)
- Multiplicity: 123
- Dimension: 456
- Dominant: No
\(\lambda=(42,40,34)\)
- Multiplicity: 354
- Dimension: 105
- Dominant: No
\(\lambda=(52,36,28)\)
- Multiplicity: 10
- Dimension: 1989
- Dominant: No
\(\lambda=(48,44,24)\)
- Multiplicity: 14
- Dimension: 1365
- Dominant: No
\(\lambda=(47,38,31)\)
- Multiplicity: 363
- Dimension: 720
- Dominant: No
\(\lambda=(50,39,27)\)
- Multiplicity: 46
- Dimension: 1950
- Dominant: No
\(\lambda=(45,41,30)\)
- Multiplicity: 343
- Dimension: 510
- Dominant: No
\(\lambda=(42,38,36)\)
- Multiplicity: 270
- Dimension: 60
- Dominant: No
\(\lambda=(52,34,30)\)
- Multiplicity: 11
- Dimension: 1140
- Dominant: No
\(\lambda=(48,42,26)\)
- Multiplicity: 61
- Dimension: 1428
- Dominant: No
\(\lambda=(47,36,33)\)
- Multiplicity: 279
- Dimension: 384
- Dominant: No
\(\lambda=(50,37,29)\)
- Multiplicity: 77
- Dimension: 1449
- Dominant: No
\(\lambda=(46,45,25)\)
- Multiplicity: 16
- Dimension: 483
- Dominant: No
\(\lambda=(45,39,32)\)
- Multiplicity: 521
- Dimension: 420
- Dominant: No
\(\lambda=(43,42,31)\)
- Multiplicity: 217
- Dimension: 168
- Dominant: No
\(\lambda=(52,32,32)\)
- Multiplicity: 3
- Dimension: 231
- Dominant: No
\(\lambda=(48,40,28)\)
- Multiplicity: 156
- Dimension: 1287
- Dominant: No
\(\lambda=(40,39,37)\)
- Multiplicity: 89
- Dimension: 15
- Dominant: No
\(\lambda=(50,35,31)\)
- Multiplicity: 72
- Dimension: 840
- Dominant: No
\(\lambda=(51,41,24)\)
- Multiplicity: 4
- Dimension: 2871
- Dominant: No
\(\lambda=(46,43,27)\)
- Multiplicity: 96
- Dimension: 714
- Dominant: No
\(\lambda=(45,37,34)\)
- Multiplicity: 415
- Dimension: 234
- Dominant: No
\(\lambda=(43,40,33)\)
- Multiplicity: 452
- Dimension: 192
- Dominant: No
\(\lambda=(49,44,23)\)
- Multiplicity: 4
- Dimension: 1848
- Dominant: No
\(\lambda=(53,36,27)\)
- Multiplicity: 1
- Dimension: 2520
- Dominant: No
\(\lambda=(48,38,30)\)
- Multiplicity: 247
- Dimension: 990
- Dominant: No
\(\lambda=(50,33,33)\)
- Multiplicity: 17
- Dimension: 171
- Dominant: No
\(\lambda=(51,39,26)\)
- Multiplicity: 14
- Dimension: 2457
- Dominant: No
\(\lambda=(46,41,29)\)
- Multiplicity: 268
- Dimension: 741
- Dominant: No
\(\lambda=(43,38,35)\)
- Multiplicity: 400
- Dimension: 120
- Dominant: No
\(\lambda=(44,44,28)\)
- Multiplicity: 50
- Dimension: 153
- Dominant: No
\(\lambda=(49,42,25)\)
- Multiplicity: 25
- Dimension: 1872
- Dominant: No
\(\lambda=(53,34,29)\)
- Multiplicity: 2
- Dimension: 1560
- Dominant: No
\(\lambda=(48,36,32)\)
- Multiplicity: 226
- Dimension: 585
- Dominant: No
\(\lambda=(41,41,34)\)
- Multiplicity: 122
- Dimension: 36
- Dominant: No
\(\lambda=(51,37,28)\)
- Multiplicity: 30
- Dimension: 1875
- Dominant: No
\(\lambda=(47,45,24)\)
- Multiplicity: 9
- Dimension: 825
- Dominant: No
\(\lambda=(46,39,31)\)
- Multiplicity: 442
- Dimension: 612
- Dominant: No
\(\lambda=(44,42,30)\)
- Multiplicity: 254
- Dimension: 312
- Dominant: No
\(\lambda=(49,40,27)\)
- Multiplicity: 76
- Dimension: 1680
- Dominant: No
\(\lambda=(53,32,31)\)
- Multiplicity: 1
- Dimension: 528
- Dominant: No
\(\lambda=(48,34,34)\)
- Multiplicity: 59
- Dimension: 120
- Dominant: No
\(\textbf{a}=(39,27,50)\)
- Multiplicity: 210
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,33,43)\)
- Multiplicity: 35349
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,29)\)
- Multiplicity: 5841
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,36)\)
- Multiplicity: 74304
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,40,48)\)
- Multiplicity: 1363
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,26,43)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,41)\)
- Multiplicity: 4717
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,29)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,22)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,34)\)
- Multiplicity: 61
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,36)\)
- Multiplicity: 4909
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,33,48)\)
- Multiplicity: 5502
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,41)\)
- Multiplicity: 74304
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,27)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,34)\)
- Multiplicity: 26368
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,26,48)\)
- Multiplicity: 397
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,46)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,41)\)
- Multiplicity: 26356
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,27)\)
- Multiplicity: 1675
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,34)\)
- Multiplicity: 35601
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,52,39)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,33,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,46)\)
- Multiplicity: 10201
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,41)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,32)\)
- Multiplicity: 328
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,27)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,34)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,39)\)
- Multiplicity: 18347
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,26,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,46)\)
- Multiplicity: 13245
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,32)\)
- Multiplicity: 23056
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,25)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,39)\)
- Multiplicity: 92573
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,51)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,46)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,45,44)\)
- Multiplicity: 1675
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,32)\)
- Multiplicity: 8565
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,25)\)
- Multiplicity: 174
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,37)\)
- Multiplicity: 126
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,39)\)
- Multiplicity: 10201
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,51)\)
- Multiplicity: 328
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,38,44)\)
- Multiplicity: 35601
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,30)\)
- Multiplicity: 718
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,37)\)
- Multiplicity: 39594
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,51)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,45,49)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,31,44)\)
- Multiplicity: 16493
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,42)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,30)\)
- Multiplicity: 11386
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,23)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,37)\)
- Multiplicity: 68508
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,38,49)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,24,44)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,42)\)
- Multiplicity: 10849
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,30)\)
- Multiplicity: 718
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,35)\)
- Multiplicity: 888
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,37)\)
- Multiplicity: 1623
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,31,49)\)
- Multiplicity: 2070
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,42)\)
- Multiplicity: 68508
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,28)\)
- Multiplicity: 759
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,35)\)
- Multiplicity: 50601
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,24,49)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,47)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,42)\)
- Multiplicity: 10849
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,50,40)\)
- Multiplicity: 112
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,28)\)
- Multiplicity: 2795
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,35)\)
- Multiplicity: 28318
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,47)\)
- Multiplicity: 8565
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,42)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,40)\)
- Multiplicity: 35349
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,28)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,33)\)
- Multiplicity: 2632
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,35)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,47)\)
- Multiplicity: 5023
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,26)\)
- Multiplicity: 397
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,33)\)
- Multiplicity: 38502
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,40)\)
- Multiplicity: 77261
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,52)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,47)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,43,45)\)
- Multiplicity: 3309
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,33)\)
- Multiplicity: 5502
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,26)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,38)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,40)\)
- Multiplicity: 3390
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,52)\)
- Multiplicity: 61
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,36,45)\)
- Multiplicity: 28318
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,31)\)
- Multiplicity: 4046
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,38)\)
- Multiplicity: 66143
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,43,50)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,29,45)\)
- Multiplicity: 5841
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\(\textbf{a}=(52,39,25)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,37)\)
- Multiplicity: 8565
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,27,39)\)
- Multiplicity: 210
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,28,51)\)
- Multiplicity: 126
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,34,44)\)
- Multiplicity: 35601
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,46,30)\)
- Multiplicity: 7254
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,37)\)
- Multiplicity: 86070
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,41,49)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,27,44)\)
- Multiplicity: 1675
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,42)\)
- Multiplicity: 1151
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,39,30)\)
- Multiplicity: 5023
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,45,23)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,53,35)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,37)\)
- Multiplicity: 15903
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,34,49)\)
- Multiplicity: 2632
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,42)\)
- Multiplicity: 49699
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,52,28)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,46,35)\)
- Multiplicity: 18385
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,26,37)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,27,49)\)
- Multiplicity: 446
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,47)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,42)\)
- Multiplicity: 38502
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,28)\)
- Multiplicity: 3309
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,39,35)\)
- Multiplicity: 59439
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,47)\)
- Multiplicity: 3390
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,42)\)
- Multiplicity: 397
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,46,40)\)
- Multiplicity: 7254
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,38,28)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,52,33)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,32,35)\)
- Multiplicity: 2430
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,47)\)
- Multiplicity: 9940
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,39,40)\)
- Multiplicity: 86070
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,51,26)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,33)\)
- Multiplicity: 22832
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,40,52)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,47)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,46,45)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,26)\)
- Multiplicity: 697
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,33)\)
- Multiplicity: 22832
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,52,38)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,32,40)\)
- Multiplicity: 23056
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,52)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,39,45)\)
- Multiplicity: 18347
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,33)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,31)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,37,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,38)\)
- Multiplicity: 22832
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,25,40)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,52)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,32,45)\)
- Multiplicity: 18347
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,31)\)
- Multiplicity: 16493
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,24)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,38)\)
- Multiplicity: 89239
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,39,50)\)
- Multiplicity: 210
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,25,45)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,43)\)
- Multiplicity: 3309
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,31)\)
- Multiplicity: 4046
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,24)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,36)\)
- Multiplicity: 186
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,38)\)
- Multiplicity: 6831
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,32,50)\)
- Multiplicity: 1010
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,43)\)
- Multiplicity: 50601
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,29)\)
- Multiplicity: 528
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,36)\)
- Multiplicity: 41030
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,25,50)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,48)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,43)\)
- Multiplicity: 18111
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,51,41)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,29)\)
- Multiplicity: 6492
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,49,22)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,36)\)
- Multiplicity: 54308
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,48)\)
- Multiplicity: 3078
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,43)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,44,41)\)
- Multiplicity: 16493
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,29)\)
- Multiplicity: 186
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,34)\)
- Multiplicity: 1010
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,36)\)
- Multiplicity: 718
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,48)\)
- Multiplicity: 4046
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,37,41)\)
- Multiplicity: 79797
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,27)\)
- Multiplicity: 446
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,34)\)
- Multiplicity: 43881
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,48)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,44,46)\)
- Multiplicity: 697
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,30,41)\)
- Multiplicity: 9334
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,27)\)
- Multiplicity: 1151
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,34)\)
- Multiplicity: 17741
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,39)\)
- Multiplicity: 210
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,53)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,37,46)\)
- Multiplicity: 15903
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,32)\)
- Multiplicity: 2430
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,29,34)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,39)\)
- Multiplicity: 43881
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,30,46)\)
- Multiplicity: 7254
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,44)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,32)\)
- Multiplicity: 27570
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,25)\)
- Multiplicity: 174
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,39)\)
- Multiplicity: 74304
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,37,51)\)
- Multiplicity: 126
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,23,46)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,44)\)
- Multiplicity: 6492
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,32)\)
- Multiplicity: 2430
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,25)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,37)\)
- Multiplicity: 1623
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,39)\)
- Multiplicity: 2142
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,30,51)\)
- Multiplicity: 248
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,44)\)
- Multiplicity: 41030
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,30)\)
- Multiplicity: 3078
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,37)\)
- Multiplicity: 68508
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,23,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,49)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,44)\)
- Multiplicity: 6492
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,49,42)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,30)\)
- Multiplicity: 9334
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,23)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,37)\)
- Multiplicity: 39594
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,49)\)
- Multiplicity: 2070
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,44)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,42,42)\)
- Multiplicity: 27570
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,30)\)
- Multiplicity: 61
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,35)\)
- Multiplicity: 5502
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,28,37)\)
- Multiplicity: 126
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,49)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,42)\)
- Multiplicity: 59439
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,28)\)
- Multiplicity: 2081
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,35)\)
- Multiplicity: 64373
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,22,49)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,42,47)\)
- Multiplicity: 1151
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,28,42)\)
- Multiplicity: 2795
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,40)\)
- Multiplicity: 1363
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,28)\)
- Multiplicity: 1363
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,35)\)
- Multiplicity: 10704
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,35,47)\)
- Multiplicity: 10704
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,40)\)
- Multiplicity: 64373
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,53,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,33)\)
- Multiplicity: 9940
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,28,47)\)
- Multiplicity: 2081
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,45)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,26)\)
- Multiplicity: 697
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,33)\)
- Multiplicity: 35349
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,40)\)
- Multiplicity: 49699
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,35,52)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,45)\)
- Multiplicity: 9334
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,33)\)
- Multiplicity: 1052
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,31)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,26)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,38)\)
- Multiplicity: 6831
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,40)\)
- Multiplicity: 446
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,28,52)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,45)\)
- Multiplicity: 26368
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,31)\)
- Multiplicity: 10201
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,52,24)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,38)\)
- Multiplicity: 89239
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,50)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,45)\)
- Multiplicity: 1675
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,47,43)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,31)\)
- Multiplicity: 10201
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,24)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,53,36)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,33,38)\)
- Multiplicity: 22832
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,50)\)
- Multiplicity: 1010
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,40,43)\)
- Multiplicity: 35349
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,31)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,29)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,36)\)
- Multiplicity: 17741
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,26,38)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{18,\lambda}(2,2;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{18,1}(2,2;6)\). Here \(\lambda\) is the weight \((\lambda_0,\lambda_1,\lambda_2)\) where \(\lambda_2\) is determined by the fact that \(|\lambda|\) equals \(d(p+q)+b\). The dominant weights are displayed in green. Click on an entry for more info!
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{18,\textbf{a}}(2,2;6)\). Here \(\textbf{a}\) is the weight \((a_0,a_1,a_2)\) where \(a_2\) is determined by the fact that \(|\textbf{a}|\) equals \(d(p+q)+b\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!